The conformal bootstrap seeks to use conformal symmetry, associativity of the operator product expansion, and other physical consistency conditions to constrain nontrivial conformal field theories (CFTs). I will review recent progress in the conformal bootstrap, including Rattazzi, Rychkov, Tonni, and Vichi's algorithm for deriving bounds on CFT data, bounds on the 3d critical Ising model, and some analytic results about the bootstrap equations.